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211131033049 is a prime number
BaseRepresentation
bin1100010010100001100…
…0111110010111011001
3202011222002021202021201
43010220120332113121
511424344021024144
6240554154434201
721153011112256
oct3045030762731
9664862252251
10211131033049
11815a3a67072
1234b03432961
1316ba9434571
14a30c54042d
15575a7981d4
hex312863e5d9

211131033049 has 2 divisors, whose sum is σ = 211131033050. Its totient is φ = 211131033048.

The previous prime is 211131033037. The next prime is 211131033053. The reversal of 211131033049 is 940330131112.

211131033049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197420262400 + 13710770649 = 444320^2 + 117093^2 .

It is a cyclic number.

It is not a de Polignac number, because 211131033049 - 25 = 211131033017 is a prime.

It is not a weakly prime, because it can be changed into another prime (211131033649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105565516524 + 105565516525.

It is an arithmetic number, because the mean of its divisors is an integer number (105565516525).

Almost surely, 2211131033049 is an apocalyptic number.

It is an amenable number.

211131033049 is a deficient number, since it is larger than the sum of its proper divisors (1).

211131033049 is an equidigital number, since it uses as much as digits as its factorization.

211131033049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 211131033049 in words is "two hundred eleven billion, one hundred thirty-one million, thirty-three thousand, forty-nine".